To solve this system of equations, we can use the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x in terms of y:
x - 2y = -1
x = 2y - 1
Step 2: Substitute the expression for x from Step 1 into the other equation.
3(2y - 1) + 2y = 13
Step 3: Simplify and solve for y.
6y - 3 + 2y = 13
8y - 3 = 13
8y = 16
y = 2
Step 4: Substitute the value of y into one of the original equations to solve for x.
x - 2(2) = -1
x - 4 = -1
x = 3
The solution to the system of equations is x = 3 and y = 2.
3x+2y=13
X-2y=-1
1 answer